What is the Greatest Common Factor of 36654 and 36672?

Greatest common factor (GCF) of 36654 and 36672 is 6.

GCF(36654,36672) = 6

We will now calculate the prime factors of 36654 and 36672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36654 and 36672.

How to find the GCF of 36654 and 36672?

We will first find the prime factorization of 36654 and 36672. After we will calculate the factors of 36654 and 36672 and find the biggest common factor number .

Step-1: Prime Factorization of 36654

Prime factors of 36654 are 2, 3, 41, 149. Prime factorization of 36654 in exponential form is:

36654 = 2¹ × 3¹ × 41¹ × 149¹

Step-2: Prime Factorization of 36672

Prime factors of 36672 are 2, 3, 191. Prime factorization of 36672 in exponential form is:

36672 = 2⁶ × 3¹ × 191¹

Step-3: Factors of 36654

List of positive integer factors of 36654 that divides 36654 without a remainder.

1, 2, 3, 6, 41, 82, 123, 149, 246, 298, 447, 894, 6109, 12218, 18327

Step-4: Factors of 36672

List of positive integer factors of 36672 that divides 36654 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 191, 192, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 6112, 9168, 12224, 18336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36654 and 36672. The biggest common factor number is the GCF number.
So the greatest common factor 36654 and 36672 is 6.

Also check out the Least Common Multiple of 36654 and 36672